User:BudjarnLambeth/Possible convention for temperament pages: Difference between revisions
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* [[CTE]]: ~2 = 1200.0, ~3/2 = 696.9080 | * [[CTE]]: ~2 = 1200.0, ~3/2 = 696.9080 | ||
* [[POTE]]: ~2 = 1200.0, ~3/2 = 697.003 | * [[POTE]]: ~2 = 1200.0, ~3/2 = 697.003 | ||
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=== Huygens === | |||
Dubbed ''huygens'' here, this extension is perhaps the most practical, as it maps 17/16 to the minor second (C-Db), and 19/16 to the minor third (C-Eb), suitable for a system generated by a mildly tempered fifth. | |||
Subgroup: 2.3.5.7.11.13.17 | |||
Comma list: 66/65, 81/80, 99/98, 105/104, 120/119 | |||
Mapping: {{mapping| 1 0 -4 -13 -25 -20 12 | 0 1 4 10 18 15 -5 }} | |||
Optimal tunings: | |||
* [[CTE]]: ~2 = 1200.0, ~3/2 = 696.9080 | |||
* [[TE]]: ~2 = 1199.582, ~3/2 = 696.761 | |||
{{Databox|Other optimal tunings|defaultstate=collapsed| | |||
text= | |||
* [[POTE]]: ~2 = 1200.0, ~3/2 = 697.003 | |||
* [[CE]]: ~2 = 1198.172, ~3/2 = 696.176 | |||
* [[WE]]: ~2= 1199.555, ~3/2 = 696.745 | |||
}} | }} | ||